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Finding the Third Proportional to 147,773 and 222,754

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Solution

The third proportional to 147,773 and 222,754 is: 335,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,773 : 222,754 = 222,754 : x
  2. Step 2: Convert to fraction form
    147,773/222,754 = 222,754/x
  3. Step 3: Cross multiply
    147,773x = 222,754 × 222,754
  4. Step 4: Simplify right side
    147,773x = 49,619,344,516
  5. Step 5: Solve for x
    x = 49,619,344,516/147,773
  6. Step 6: Final answer
    x = 335,780.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.